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Finding the Third Proportional to 14,585.06 and 30,639.94

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Solution

The third proportional to 14,585.06 and 30,639.94 is: 64,367.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,585.06 : 30,639.94 = 30,639.94 : x
  2. Step 2: Convert to fraction form
    14,585.06/30,639.94 = 30,639.94/x
  3. Step 3: Cross multiply
    14,585.06x = 30,639.94 × 30,639.94
  4. Step 4: Simplify right side
    14,585.06x = 938,805,770.00
  5. Step 5: Solve for x
    x = 938,805,770.00/14,585.06
  6. Step 6: Final answer
    x = 64,367.62

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.